pop.Rd
pop
is a suppositious data frame for a small population with 5 elements. It is used for simple illustration of survey sampling
estimators.
data(pop)
A data frame with 5 observations on the following 3 variables.
id
a numeric vector of individual identification values
X
a numeric vector of first characteristic
Y
a numeric vector of second characteristic
Kauermann, Goeran/Kuechenhoff, Helmut (2010): Stichproben. Methoden und praktische Umsetzung mit R. Springer.
#> id X Y #> 1 1 11 9 #> 2 2 11 10 #> 3 3 11 11 #> 4 4 21 18 #> 5 5 21 22#> [1] 9 10 11 18 22#> [1] 9 11 22#> #> Smean object: Sample mean estimate #> With finite population correction: N=5 #> #> Mean estimate: 14 #> Standard error: 2.556 #> 95% confidence interval: [8.9903,19.0097] #>## 2) Usage of mbes() data(pop) # Draw a random sample of size=3 set.seed(802016) data <- pop[sample(1:5, size=3),] names(data) <- c('id','x','y') # difference estimator mbes(formula=y~x, data=data, aux=15, N=5, method='diff', level=0.95)#> #> mbes object: Model Based Estimation of Population Mean #> Population size N = 5, sample size n = 3 #> #> Values for auxiliary variable: #> X.mean.1 = 15, x.mean.1 = 17.6667 #> ---------------------------------------------------------------- #> Difference Estimate #> #> Mean estimate: 14 #> Standard error: 0.7303 #> #> 95% confidence interval [12.5686,15.4314] #>#> #> mbes object: Model Based Estimation of Population Mean #> Population size N = 5, sample size n = 3 #> #> Values for auxiliary variable: #> X.mean.1 = 15, x.mean.1 = 17.6667 #> ---------------------------------------------------------------- #> Ratio Estimate #> #> Mean estimate: 14.1509 #> Standard error: 0.74 #> #> 95% confidence interval [12.7006,15.6013] #>#> #> mbes object: Model Based Estimation of Population Mean #> Population size N = 5, sample size n = 3 #> #> Values for auxiliary variable: #> X.mean.1 = 15, x.mean.1 = 17.6667 #> ---------------------------------------------------------------- #> Linear Regression Estimate #> #> Mean estimate: 14 #> Standard error: 1.0328 #> #> 95% confidence interval [11.9758,16.0242] #> #> ---------------------------------------------------------------- #> Linear Regression Model: #> Call: #> lm(formula = formula, data = data) #> #> Residuals: #> 5 4 2 #> 2.000e+00 -2.000e+00 6.661e-16 #> #> Coefficients: #> Estimate Std. Error t value Pr(>|t|) #> (Intercept) -1.0000 6.3340 -0.158 0.900 #> x 1.0000 0.3464 2.887 0.212 #> #> Residual standard error: 2.828 on 1 degrees of freedom #> Multiple R-squared: 0.8929, Adjusted R-squared: 0.7857 #> F-statistic: 8.333 on 1 and 1 DF, p-value: 0.2123 #>